Solve the following system of equation by graphing. Identify the values for both x and y.3x − 2y = 11−x + 6y = 7

Step 1: Rewrite the equations in slope-intercept form (y = mx + b)

For the first equation, 3x - 2y = 11, we can rewrite it as: -2y = -3x + 11 y = (3/2)x - 11/2

For the second equation, -x + 6y = 7, we can rewrite it as: 6y = x + 7 y = (1/6)x + 7/6

Step 2: Graph the two equations on the same set of axes.

Step 3: Find the point where the two lines intersect. This point is the solution to the system of equations.

Without a graph, we can't find the exact point of intersection. However, you can use a graphing calculator or online graphing tool to plot these two equations and find the point of intersection.

Step 4: The x-coordinate of the point of intersection is the solution for x, and the y-coordinate of the point of intersection is the solution for y.